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Question

Write all the integers between -11 and 17 which are divisible by 3 and 5 both.

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Solution

First we have to find integers between -11 and 17 which are divisible by 3. Those are:
-9, -6, -3, 0, 3, 6, 9, 12, 15

Now, we need to find the integers between -11 and 17 which are divisible by 5. Those are:
-10, -5, 0, 5, 10, 15

Integers which are divisible by both 3 and 5 are the common integers in the above mentioned set of integers.

Therefore, the integers which are divisible by 3 and 5 both, are:
0 and 15.

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